{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a sweep between 14.916133333333333°C and 35.08173333333333°C\n",
      "with a speed of roughly 15.972752475247523°C per hour\n",
      "we see a voltage tempco of roughly 0.15610743045185208 ppm/k\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import FormatStrFormatter\n",
    "\n",
    "# Fetch data\n",
    "columns = [\"Time\", \"Arroyo TECSource Chamber Temp\", \"3458A Vz\"]\n",
    "raw=pd.read_csv(\"https://raw.githubusercontent.com/marcoreps/multiinstrumentalist/master/csv/20230124-181616_ADRmu9_15_35_TC_sweep.csv\", usecols=columns)\n",
    "\n",
    "# Use datetime as index\n",
    "raw[\"Time\"] = pd.to_datetime(raw[\"Time\"])\n",
    "raw = raw.set_index(pd.DatetimeIndex(raw[\"Time\"]))\n",
    "raw = raw.drop('Time', axis=1)\n",
    "\n",
    "raw=raw.resample('30s').mean()\n",
    "plt.rcParams[\"figure.figsize\"] = [14, 7]\n",
    "fig, ax = plt.subplots()\n",
    "twin1 = ax.twinx()\n",
    "twin1.set_ylabel(\"Temperature (°C)\")\n",
    "ax.grid()\n",
    "ax.set(xlabel='time', ylabel='Output Voltage (V)', title='ADRmu9 Voltage vs ambient temperature')\n",
    "ax.plot(raw.iloc[:,1])\n",
    "twin1.plot(raw.iloc[:,0])\n",
    "ax.yaxis.set_major_formatter(FormatStrFormatter('%.7f'))\n",
    "plt.show()\n",
    "print(\"In a sweep between \"+str(raw[\"Arroyo TECSource Chamber Temp\"].min())+\"°C and \"+str(raw[\"Arroyo TECSource Chamber Temp\"].max())+\"°C\")\n",
    "time_range=(raw.index.max() - raw.index.min()).total_seconds()\n",
    "temperature_range=raw[\"Arroyo TECSource Chamber Temp\"].max()-raw[\"Arroyo TECSource Chamber Temp\"].min()\n",
    "voltage_range=raw[\"3458A Vz\"].max()-raw[\"3458A Vz\"].min()\n",
    "print(\"with a speed of roughly \"+str(temperature_range/(time_range/3600)*2)+\"°C per hour\")\n",
    "print(\"we see a voltage tempco of roughly \"+str((voltage_range/.00001)/temperature_range)+\" ppm/k\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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